Most students are introduced to topics in quantum mechanics as sophomores, in Modern Physics. This material relies heavily on concepts and techniques covered in Differential Equations I, and Linear Algebra, which students may be taking concurrently, as well as on partial differential equations, special functions, and probability distributions, which are commonly taught at the junior level. I present some strategies I have successfully implemented in Modern Physics that help me teach the material effectively while helping students build the requisite mathematical foundation.